Abstract
In this chapter, we show that Q p can be equivalently characterized by means of a modified Carleson measure. In the subsequent three sections, this geometric characterization is used to compare Q p with the class of mean Lipschitz functions as well as the Besov space (as one of representatives of the conformally invariant classes of holomorphic functions), and to discuss the mean growth of the derivatives of functions in Q p.
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© 2001 Springer-Verlag Berlin Heidelberg
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(2001). Modified Carleson Measures. In: Xiao, J. (eds) Holomorphic Q Classes. Lecture Notes in Mathematics, vol 1767. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45434-9_4
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DOI: https://doi.org/10.1007/3-540-45434-9_4
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42625-7
Online ISBN: 978-3-540-45434-2
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